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1 st Semester Final Exam Review

1 st Semester Final Exam Review. 3 rd Period – Wednesday, January 18 th 4 th Period – Thursday, January 19 th. 1 st Quarter Concepts. Add, subtract, multiply, and divide whole numbers, fractions, and decimals in word problems.

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1 st Semester Final Exam Review

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  1. 1st Semester Final Exam Review 3rd Period – Wednesday, January 18th 4th Period – Thursday, January 19th

  2. 1st Quarter Concepts • Add, subtract, multiply, and divide whole numbers, fractions, and decimals in word problems. • Will involve tax, percentages off, one and two step problems, etc. “Shirt cost $20 with 9% tax” $20 • 0.09 = $1.80, so $20 + $1.80 = $21.80 • Factors and Multiples • Factors of 8: 1, 2, 4, 8 • Multiples of 8: 8, 16, 24, 32, etc.

  3. 1st Quarter Concepts • Lowest Common Multiples Find the LCM of 6 and 4: • 6: 6, 12, 18, 24, 30, 36, … • 4: 4, 8, 12, 16, 20, 24, 28, … • Greatest Common Factor Find the GCF of 12 and 20: • 12: 1, 2, 3, 4, 6, 12 • 20: 1, 2, 4, 5, 10, 20

  4. 1st Quarter Concepts • Place Value Find the place value of the digit 5 in the number 12,536,789.23 The 5 is in the hundred thousands place. • Rounding Round 14,564 to the nearest thousand. • Look at the number to the right. It is 5 or higher, so you round up. • The answer is 15,000!

  5. 1st Quarter Concepts • Ordering • Order 0.5, 0.53, and 0.506 from smallest to largest: • Add ‘0’ to make them look similar. • 0.500, 0.530, and 0.506, so… • The answer is 0.5, 0.506, 0.53 • Simplifying Fractions • Reduce to lowest terms. 15 20 15 ÷ 5 = 3 20 ÷ 5 = 4

  6. 1st Quarter Concepts • Common Conversions • How many cups in 2 quarts? (1 qt = 2 pints, 1 pint = 2 cups) • 2 qts = 4 pints, 4 pints = 8 cups • Mean, Median, and Mode • Mean = average – add and then divide • Median = order from least to greatest, find middle number. • Mode = the number that appears the most.

  7. 1st Quarter Concepts • Mean – Missing Value • Your first three test scores are 79, 88, and 80. What must you score on the next test to achieve an 85 average? 85 • 4 = 340 pts needed 79 + 88 + 80 = 247 pts currently have You need 340 – 247 = 93 on the next test. • Reading Tables and Charts • You will be asked to make simple computations from information given on a chart or table.

  8. 2nd Quarter Concepts • Writing Expressions and Equations “three less than the product of two and x” 2x – 3 “Chris is one year more than twice as old as Tom. Chris is 15 years old. How old is Tom?” 2t + 1 = 15 2t = 14 t = 7 years old

  9. 2nd Quarter Concepts • Simplifying Expressions Simplify: 3x – 5 + 4x + 9 7x + 4 • Solve Equations 3x + 6 = 18 3x = 12 x = 4 • Plot points on a Coordinate Plane (x, y) – x-coordinate is plotted side to side y-coordinate is plotted up and down

  10. 2nd Quarter Concepts • Graph an Equation on a Coordinate Plane y = 2x – 2 . . .

  11. 2nd Quarter Concepts y2 – y1 x2 – x1 • Find Slope (m) m = Find the slope of the line going through (3, 5) (4, 9) 9 – 5 4 4 – 3 1 m = = = 4

  12. 2nd Quarter Concepts • Find Equation of a Line given: m & b, m & one-point, and two-points 1. m = 3, b = -5 y = 3x – 5 2. m = 2 (2, 8) y = mx + b 8 = 2(2) + b 8 = 4 + b 4 = b, so y = 2x + 4 (2, 5) (4, 13) 13 – 5 8 4 – 2 2 m = = = 4 m = 4, (2, 5) 5 = 4(2) + b 5 = 8 + b -3 = b y = 4x – 3

  13. 2nd Quarter Concepts • Use the Distance Formula • √(x2 – x1)2 + (y2 – y1)2 • Use the Midpoint Formula • x1 + x2 y1 + y2 2 2 ( , )

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